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3 years ago

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What number is a multiple of 4/5

1 answer:

victus00 [196]3 years ago

4 0

The multiple of 4/5 is 1

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Let X be the number of material anomalies occurring in a particular region of an aircraft gas-turbine disk. The article "Methodo

Shkiper50 [21]

Answer:

a) $P(X\leq 4)=0.0183+0.0733+ 0.1465+0.1954+0.1954=0.6288$

$P(X< 4)=P(X\leq 3)=0.0183+0.0733+ 0.1465+0.1954=0.4335$

b) $P(4\leq X\leq 8)=0.1954+0.1563+0.1042+0.0595+0.0298=0.5452$

c) $P(X \geq 8) = 1-P(X$

d) $P(4\leq X \leq 6)=0.1954+0.1563+0.1042=0.4559$

Step-by-step explanation:

Let X the random variable that represent the number of material anomalies occurring in a particular region of an aircraft gas-turbine disk. We know that $X \sim Poisson(\lambda=4)$

The probability mass function for the random variable is given by:

$f(x)=\frac{e^{-\lambda} \lambda^x}{x!} , x=0,1,2,3,4,...$

And f(x)=0 for other case.

For this distribution the expected value is the same parameter $\lambda$

$E(X)=\mu =\lambda=4$ , $Var(X)=\lambda=2$ , $Sd(X)=2$

a. Compute both P(X≤4) and P(X<4).

$P(X\leq 4)=P(X=0)+P(X=1)+ P(X=2)+P(X=3)+P(X=4)$

Using the pmf we can find the individual probabilities like this:

$P(X=0)=\frac{e^{-4} 4^0}{0!}=e^{-4}=0.0183$

$P(X=1)=\frac{e^{-4} 4^1}{1!}=0.0733$

$P(X=2)=\frac{e^{-4} 4^2}{2!}=0.1465$

$P(X=3)=\frac{e^{-4} 4^3}{3!}=0.1954$

$P(X=4)=\frac{e^{-4} 4^4}{4!}=0.1954$

$P(X\leq 4)=0.0183+0.0733+ 0.1465+0.1954+0.1954=0.9646$

$P(X< 4)=P(X\leq 3)=P(X=0)+P(X=1)+ P(X=2)+P(X=3)$

$P(X< 4)=P(X\leq 3)=0.0183+0.0733+ 0.1465+0.5311=0.7692$

b. Compute P(4≤X≤ 8).

$P(4\leq X\leq 8)=P(X=4)+P(X=5)+ P(X=6)+P(X=7)+P(X=8)$

$P(X=4)=\frac{e^{-4} 4^4}{4!}=0.1954$

$P(X=5)=\frac{e^{-4} 4^5}{5!}=0.1563$

$P(X=6)=\frac{e^{-4} 4^6}{6!}=0.1042$

$P(X=7)=\frac{e^{-4} 4^7}{7!}=0.0595$

$P(X=8)=\frac{e^{-4} 4^8}{8!}=0.0298$

$P(4\leq X\leq 8)=0.1954+0.1563+ 0.1042+0.0595+0.0298=0.5452$

c. Compute P(8≤ X).

$P(X \geq 8) = 1-P(X$

$P(X \geq 8) = 1-P(X$

d. What is the probability that the number of anomalies exceeds its mean value by no more than one standard deviation?

The mean is 4 and the deviation is 2, so we want this probability

$P(4\leq X \leq 6)=P(X=4)+P(X=5)+P(X=6)$

$P(X=4)=\frac{e^{-4} 4^4}{4!}=0.1954$

$P(X=5)=\frac{e^{-4} 4^5}{5!}=0.1563$

$P(X=6)=\frac{e^{-4} 4^6}{6!}=0.1042$

$P(4\leq X \leq 6)=0.1954+0.1563+0.1042=0.4559$

4 0

4 years ago

samantha is savung up to bit a car it costs 3000 dollars she has 775 saved up and makes 150 a month how many more monsths will s

zzz [600]

905 or 2045 because I think those are the right answer

7 0

3 years ago

Please solve this fast

Korolek [52]

Step-by-step explanation:

1.

$qr - pr \: + qs - ps$

$r(q - p) + s(q - p)$

$(r + s)(q - p)$

2.

${x}^{2} + y - xy - x$

${x}^{2} - x - xy + y$

$x(x - 1) - y(x - 1)$

3.

$6xy + 6 - 9y - 4x$

$- 4x + 6 + 6xy - 9y$

$2( - 2x + 3) - 3y( - 2x + 3)$

$(2 - 3y)( - 2x + 3)$

4.

${x}^{2} - 2ax - 2ab + bx$

$x(x - 2a) - b(x - 2a)$

$-(x +b)(2a-x)$

5.

$axy + bcxy - az - bcz$

$xy(a + bc) - z(a + bc)$

$(xy - z)(a + bc)$

3 0

3 years ago

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|-2+k|< or equal to 8<br><br> Solve the inequality, show the solution step by step

lina2011 [118]

Answer:

k ≤ 10 or k ≤ -6

Step-by-step explanation:

| -2 + k | ≤ 8

-2 + k ≤ 8

k ≤ 10

-2 + k ≤ -8

k ≤ -6

6 0

3 years ago

-2 (x+3)+5x=-39 simplify answer

Artist 52 [7]

Answer:

X = -11

Step-by-step explanation:

-2 (x+3) +5x = -39

3x -6= -39

3x = -33

3x/3 = -33/3

X = -11

8 0

3 years ago

Read 2 more answers